周辉,教授,博士。2016年9月在中国科学技术大学基础数学专业攻读博士学位(导师王毅教授),2019年6月获理学博士学位。主要从事微分方程与动力系统领域的研究,已在包括SIAP、JDE、PAMS等国际高水平数学期刊发表论文30余篇。主持国家自然科学基金2项、安徽省自然科学基金1项与安徽省高校自然科学重大项目等多项。
目前感兴趣的主要研究方向:单调动力系统、无穷维动力系统、非自治系统以及生物数学等。
近年来主持的主要项目:
国家自然科学基金面上项目 12571170 2026.01-2029.12 在研
国家自然科学基金青年项目 12001152 2021.01-2023.12 结题
安徽省自然科学基金青年项目 2008085QA08 2020.07-2022.06 结题
安徽省高校自然科学基金重大项目 2023AH040161 2023.12-2025.11 在研
近年来完成的主要论文:
PREPRINTS:
(with R. Lang and Y. Wang), Global asymptotic stability of an Alzheimer’s disease model, preprint.
(with Y. Wang and W. Wu), Global convergence for systems combining time-delayed negative feedback with time-periodic driving and applications, preprint.
IN PRESS:
(with Y. Wang and W. Wu), Global convergence for time-periodic systems with negative feedback and applications, Commun. Math. Stat., in press.
PUBLICATIONS:
Analysis of a mathematical model arising from stage-structured predator–prey in a chemostat, Nonlinear Anal. 2024, 77(104041).
Global extinctions arising from Barnacle-Algae-Mussel interaction model, Discrete Contin. Dyn. Syst. 2023, 28(7): 4190-4200.
Dynamical behavior of almost periodically forced neutral delayed equation and its applications, Proc. Amer. Math. Soc., 2022, 150(12):5293-5309.
(with L. Yang), Dynamical analysis arising from the Willamowski-Rössler model, J. Math. Anal. Appl., 2022, 514 (126281).
(with D. Lassoued), Some theorems on the almost-periodic solutions of discrete dynamical systems, J. Differential Equation, 2021, 297(10): 469-507.
(with W. Wang and L. Yang), Stage-structured hematopoiesis model with delays in an almost periodic environment, Appl. Math. Letters, 2021, 120(107336).
(with S.-B. Hsu and Y. Wang), Analysis of a mathematical model arising from Barnacle-Algae-Mussel interactions, SIAM J. Appl. Math. 79(2019), 2032-2053.
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